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117740941956 = 223411217332
BaseRepresentation
bin110110110100111101…
…0000011001010000100
3102020220120100120110000
41231221322003022010
53412113140120311
6130031153001300
711335505331231
oct1555172031204
9366816316400
10117740941956
1145a2a768400
121a99b253230
13b145178731
1459ad2d4788
1530e19c0056
hex1b69e83284

117740941956 has 135 divisors (see below), whose sum is σ = 338518845973. Its totient is φ = 35658485280.

The previous prime is 117740941951. The next prime is 117740941957. The reversal of 117740941956 is 659149047711.

It is a happy number.

The square root of 117740941956 is 343134.

It is a perfect power (a square), and thus also a powerful number.

117740941956 is a `hidden beast` number, since 1 + 177 + 4 + 0 + 9 + 419 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52299116100 + 65441825856 = 228690^2 + 255816^2 .

It is a super-2 number, since 2×1177409419562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (117740941951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67939666 + ... + 67941398.

Almost surely, 2117740941956 is an apocalyptic number.

117740941956 is the 343134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117740941956

117740941956 is an abundant number, since it is smaller than the sum of its proper divisors (220777904017).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117740941956 is an equidigital number, since it uses as much as digits as its factorization.

117740941956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 117740941956 in words is "one hundred seventeen billion, seven hundred forty million, nine hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1733 1782 2178 3267 3466 3564 4356 5199 6534 6932 9801 10398 13068 15597 19063 19602 20796 31194 38126 39204 46791 57189 62388 76252 93582 114378 140373 171567 187164 209693 228756 280746 343134 419386 514701 561492 629079 686268 838772 1029402 1258158 1544103 1887237 2058804 2516316 3003289 3088206 3774474 5661711 6006578 6176412 7548948 9009867 11323422 12013156 16985133 18019734 22646844 27029601 33036179 33970266 36039468 54059202 66072358 67940532 81088803 99108537 108118404 132144716 162177606 198217074 243266409 297325611 324355212 363397969 396434148 486532818 594651222 726795938 891976833 973065636 1090193907 1189302444 1453591876 1783953666 2180387814 2675930499 3270581721 3567907332 4360775628 5351860998 6541163442 9811745163 10703721996 13082326884 19623490326 29435235489 39246980652 58870470978 117740941956